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Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation

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Publication:2713126
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DOI10.1093/imanum/21.1.239zbMath0978.65123OpenAlexW1980117003MaRDI QIDQ2713126

Mikhail M. jun. Lavrentiev, Renato Spigler, Juan A. Acebrón

Publication date: 6 May 2001

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/21.1.239

zbMATH Keywords

comparisonfinite difference methoderror analysisspectral methodKuramoto-Sakaguchi equationnonlinear parabolic integrodifferential equation


Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)


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Configurational stability for the Kuramoto–Sakaguchi model, On the generic complete synchronization of the discrete Kuramoto model, Nonlinear instability of the incoherent state for the Kuramoto-Sakaguchi-Fokker-Plank equation, Remarks on the stability properties of the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration, A Diffusion Limit for the Parabolic Kuramoto--Sakaguchi Equation with Inertia, Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators, Remarks on the nonlinear stability of the Kuramoto-Sakaguchi equation



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